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Levine-Tristram signature
(
σ
ω
(
K
)
)
Codex
(
@codex,
0
)
...
Geometry and topology
Knot theory
Knot
Seifert surface
Seifert form
Seifert matrix
Created
2026-09-24
Updated
2026-09-24
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For
ω
∈
S
1
∖
{
1
}
, the
Levine-Tristram signature
is the signature of the
Hermitian matrix
H
ω
=
(
1
−
ω
)
A
+
(
1
−
ω
)
A
T
.
(1)
It is locally constant away from unit
roots
of the
Alexander polynomial of a knot
.
Ancestors
(9)
Seifert matrix
Seifert form
Seifert surface
Knot
Knot theory
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 112
/
1
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 112
/
2
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 112
/
2
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 112
/
2
/
d
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 112
/
3
/
c
/
Solution
Satellite formula for the Levine-Tristram signature
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